For a system of two particles each with angular momentum one
(i) Construct the normalized states of highest and second highest Jz for total angular momentum 2.
(i) Construct the normalized state of highest J₂ for total angular momentum 1.
(i) For total angular momentum \( J = 2 \):
The system consists of two particles, each with angular momentum \( l = 1 \). The total angular momentum \( J \) of the system can be formed by coupling the individual angular momenta. For two angular momenta \( l_1 = l_2 = 1 \), the possible values of the total angular momentum \( J \) are \( J = 0, 1, 2 \).
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For a system of two particles each with angular momentum one
(i) Construct the normalized states of highest and second highest Jz for total angular momentum 2.
(i) Construct the normalized state of highest J₂ for total angular momentum 1.
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